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Finding the Third Proportional to 31,406.25 and 42,647.25

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Solution

The third proportional to 31,406.25 and 42,647.25 is: 57,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.25 : 42,647.25 = 42,647.25 : x
  2. Step 2: Convert to fraction form
    31,406.25/42,647.25 = 42,647.25/x
  3. Step 3: Cross multiply
    31,406.25x = 42,647.25 × 42,647.25
  4. Step 4: Simplify right side
    31,406.25x = 1,818,787,932.56
  5. Step 5: Solve for x
    x = 1,818,787,932.56/31,406.25
  6. Step 6: Final answer
    x = 57,911.66

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.